Explore the concept of persistent homotopy groups in metric spaces through this 28-minute lecture. Delve into topics such as discrete fundamental groups, stability theorems, and dendrogram theorems. Gain insights into persistent rational homotopy and engage with thought-provoking questions in this advanced mathematical exploration presented by Ling Zhou for the Applied Algebraic Topology Network.
Ling Zhou - Persistent Homotopy Groups of Metric Spaces
Applied Algebraic Topology Network via YouTube
Overview
Syllabus
Introduction
Persistent Homotopy
Discrete Fundamental Group
Stability Theorem
Dendrogram Theorem
Persistent Rational Homotopy
Questions
Taught by
Applied Algebraic Topology Network
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